Will House frosh comply?

That’s the open question looming over the eleventh-hour deal to extend the payroll tax holiday two months agreed to by House GOP leaders after facing extreme pressure from congressional Democrats and the White House.

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At least two House freshmen left open the possibility that they would object to the unanimous consent to extend the tax holiday by two months while congressional conferees work out a yearlong deal.

Alabama freshman Rep. Mo Brooks, who voted against the initial yearlong deal passed by House Republicans, said he was “not yet sure,” whether he’d protest the deal. Protesting would require the House to reconvene for a roll call vote.

“The U.S. Senate’s bill is horrific policy founded on political expedience and holiday schedules,” Brooks told POLITICO in an email moments after word of the deal broke.

“It is most unfortunate that so many elected officials in Washington have a greater focus on November 2012’s elections than on sound public policy or advancing America’s interests. Both the House and Senate plans are fiscally reckless and should be deposited on the dump heap of history,” he said.

Pennsylvania freshman Rep. Mike Kelly told CNN’s John King on Thursday night, “I’m not so sure I’m not going to do that,” when asked whether he might drive to Washington to protest the unanimous consent agreement.

Under the plan, the House would move to approve the two-month deal without requiring all of its lawmakers to return to Washington. It would then automatically pass the Senate after it passes the House. GOP leaders secured promises from Democratic leaders that they would appoint conferees to hash out a yearlong deal.

The last-minute agreement angered several of the freshmen who had been among the most strident supporters of the leadership’s showdown with the Senate.

Other freshmen said it wasn’t worth protesting the deal.

In an interview, South Carolina Rep. Trey Gowdy said he was “bitterly disappointed” with the resolution but found a return to protest the agreement “futile given the political dynamics.”

Gowdy, who had just appeared on Fox Business with Neil Cavuto, was asked his response to rumblings of dissatisfaction over Speaker John Boehner’s handling of the showdown. “My response to that was that the ‘truck that ran over us had Kentucky license plates,’” Gowdy told POLITICO.

Florida Republican Rep. Dennis Ross vented his frustrations with the deal on Twitter, but tweeted to POLITICO that he wouldn’t object to the agreement.

“I will save Dems the trouble and the cost,” Ross tweeted. He later wrote, “Agree with [Gowdy]. Exercise in futility to object, plus costs [taxpayers] millions getting members back for a forgone conclusion.”

Freshmen Republicans might have reason to feel that they got a raw deal. As recently as Thursday morning they were among the most strident supporters of the effort to win concessions from Senate leadership on the payroll tax deal, even as some in moderate-leaning or swing districts faced pressure to compromise.